The Hitchin-Kobayashi correspondence on twisted \(\lambda\)-flat bundles

DOI10.1016/j.bulsci.2022.103198zbMath1505.32029OpenAlexW4298009365MaRDI QIDQ2100734

Changpeng Pan

Publication date: 24 November 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2022.103198

zbMATH Keywords

Hitchin-Kobayashi correspondencetwisted \(\lambda\)-flat bundles

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Holomorphic bundles and generalizations (32L05)

Cites Work

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• Einstein-Hermitian connection on twisted Higgs bundles
• Special metrics and stability for holomorphic bundles with global sections
• Kobayashi-Hitchin correspondence for tame harmonic bundles. II.
• Infinite determinants, stable bundles and curvature
• Flat G-bundles with canonical metrics
• Higgs bundles and local systems
• Hitchin-Kobayashi correspondence, quivers, and vortices
• A twisted nonabelian Hodge correspondence
• Semistable Higgs bundles over compact Gauduchon manifolds
• Kobayashi-Hitchin correspondence for twisted vector bundles
• Higgs bundles and flat connections over compact Sasakian manifolds
• Simpson-Mochizuki correspondence for \(\lambda\)-flat bundles
• Good wild harmonic bundles and good filtered Higgs bundles
• Moduli of twisted sheaves
• Stable and unitary vector bundles on a compact Riemann surface
• Iterated destabilizing modifications for vector bundles with connection
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• A weight two phenomenon for the moduli of rank one local systems on open varieties
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• The Hodge filtration on nonabelian cohomology
• A Hitchin-Kobayashi correspondence for Kähler fibrations
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Twisted bundles and twisted K-theory
• Objective B-fields and a Hitchin-Kobayashi correspondence
• Higgs bundles over non-compact Gauduchon manifolds
• Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds